A086207 Sum of rank(M) over all n X n matrices over GF(4).

3, 435, 704403, 15823018515, 5272966965638163, 26837910294320000900115, 2117959516569888987677094001683, 2614420107255201240346554326291784252435, 50761384915342243255034590495173254359633089772563, 15560120110421752320376568335982564883819269596340271934585875

Offset

1,1

Links

Table of n, a(n) for n=1..10.

Formula

a(n) = Sum_{r=1..n} r*Product_{j=0..r-1} (q^n-q^j)^2/(q^r-q^j) with q=4.

Prog

(PARI) a(n) = {my(q=4); sum(r=1, n, r*prod(j=0, r-1, (q^n-q^j)^2/(q^r-q^j)))}

Crossrefs

Cf. A086190, A086098.

Sequence in context: A277234 A269553 A361886 * A326373 A092052 A139999

Adjacent sequences: A086204 A086205 A086206 * A086208 A086209 A086210

Keyword

nonn

Author

Yuval Dekel (dekelyuval(AT)hotmail.com), Aug 27 2003

Extensions

a(6)-a(10) from Andrew Howroyd, Jul 08 2018

Status

approved